Question

Current through wire $X Y$ of circuit shown is

• A. 1 A
• B. 4 A
• C. 2 A
• D. 3 A

Answer 1

Answer: (C)

$-i_{1}+0 \times i_{x y}+3 i_{2}=0$ or $i_{1}=3 i_{2}$ .......(i)
Also, $-2\left(i_{1}-i_{x y}\right)+4\left(i_{2}+i_{x y}\right)=0$
or $2 i_{1}-4 i_{2}=6 i_{x y}$..........(ii)
Also, $V_{A B}-1 \times i_{1}-2\left(i_{1}-i_{x y}\right)=0 $
$\Rightarrow 50=i_{1}+2\left(i_{1}-i_{x y}\right)$
$=3 i_{1}-2 i_{x y}$...........(iii)
Solving (i), (ii) and (iii), $i_{x y}=2 A$